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Proof step 8 from proof getdims-zeroin (previous step)

0 = getdims(ints0) .last, 0 ∈ (i ' + getdims(ints0)) .butlast, 0 ∈ getdims(ints0), 0 < i ⊦ ints0 = [], 0 = i, 0 ∈ getdims(ints0) .butlast

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ ints ≠ [] → (i ' + ints) .butlast = i ' + ints .butlast
Proof step 6:
⊦ getdims(ints) = [] ↔ ints = []
Proof step 7:
⊦ getdims(ints) = [] ↔ ints = []

Rule argument

[speclemmaarg: ,ints ≠ [] → (i ' + ints) .butlast = i ' + ints .butlast ,[ints, i] → [getdims(ints0), i] ,F ,list-last ,intlista ,bc ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≠ i0 → (i ∈ i0 ' + ints ↔ i ∈ ints)], [CSIMPSEQ : ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1], [CSIMPFORWARD : ints ≠ [] ⊦ i ∈ ints .butlast → i ∈ ints])], [EXTRATERMS : (getdims(ints0), i)]]